Grade: 6Unit: 6 Week: 2Content: Math Dates: 4/15 - 4/19
Theme Essential Question:
Essential Questions: What is the relationship between the volume and the edge lengths of a prism with factional edge lengths?
Standard CC.6.G.2
Solve real-world and mathematical problems solving area, surface area and volume.
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit faction edge lengths and show that the volume is the same as would be found by multiplying the edge lengths of the prism.
Apply the formulas v= l•w•h and v=b•h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems
Objectives
Students will solve real-world and mathematical problems involving area, surface area, and volume.
Students will investigate the volume of rectangular prisms with fractional lengths.
Assessment Product
Students will draw diagrams to represent fractional side lengths; connecting with multiplication of fractions (Glencoe 573 open ended assessment)
Key Questions
How can you find the volume of rectangular prisms with fractional edge lengths?
Observable Behaviors
Students will use proper mathematical techniques to apply the volume formula of right triangular prisms.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary
Math
volume rectangular prism
Suggested Activities 1) On-Core
Investigate • Fractions and Volume (pgs. 161-162)
Algebra • Volume of Rectangular Prisms (pgs. 163-164)
Rectangular prism- a three-dimensional figure having length, width and height. Any opposite faces can represent the bases, since all of the faces are rectangles.
This lesson activity teaches students the three dimensions needed to calculate the volume of a rectangular solid.
CC.6.G. 2 Volume of Rectangular Prisms
The objectives are to find the volume of a rectangular prism and to generalize a rule for determining the volume of a right rectangular prism.
Other Activities, etc.
Measure volume by filling rectangular prisms with blocks and looking at the relationship between the total volume and the area of the base. Through this experience students derive the volume formula (V= area of base times the height)
Theme Essential Question:
Essential Questions:
What is the relationship between the volume and the edge lengths of a prism with factional edge lengths?
Standard CC.6.G.2
Objectives
Assessment
Product
Key Questions
Observable Behaviors
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary
rectangular prism
Suggested Activities
1) On-Core
- Investigate • Fractions and Volume (pgs. 161-162)
- Algebra • Volume of Rectangular Prisms (pgs. 163-164)
2) Mastering the Common Core- Understanding Volume (pg. 154).
- Volume of Rectangular Prisms (pg. 155).
- Volume of Cubes (pg. 156)
3) JBHM4) Glencoe
Homework
See appropriate suggested activities
Terminology for Teachers:
Rectangular prism- a three-dimensional figure having length, width and height.
Any opposite faces can represent the bases, since all of the faces are rectangles.
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- CC.6.G. 2 Volume of Rectangular Solids
This lesson activity teaches students the three dimensions needed to calculate the volume of a rectangular solid.- CC.6.G. 2 Volume of Rectangular Prisms
The objectives are to find the volume of a rectangular prism and to generalize a rule for determining the volume of a right rectangular prism.Other Activities, etc.
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